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Finding the Fourth Proportional to 10,238.47, 15,359.90 and 3,218.00

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Solution

The fourth proportional to 10,238.47, 15,359.90 and 3,218.00 is: 4,827.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,238.47 : 15,359.90 = 3,218.00 : x
  2. Step 2: Convert to fraction form
    10,238.47/15,359.90 = 3,218.00/x
  3. Step 3: Cross multiply
    10,238.47x = 15,359.90 × 3,218.00
  4. Step 4: Simplify right side
    10,238.47x = 49,428,065.31
  5. Step 5: Solve for x
    x = 49,428,065.31/10,238.47
  6. Step 6: Final answer
    x = 4,827.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.